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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 892 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of two numbers is 34 and their difference is 6. What is the larger number?
  2. 2.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  3. 3.The sum of two numbers is 36 and their difference is 16. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  5. 5.The sum of 5 consecutive numbers is 200. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  7. 7.The sum of 4 consecutive even numbers is 204. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 225. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 66. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  12. 12.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  13. 13.One number is 3 times another. Their difference is 72. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 78. What is the smaller number?
  16. 16.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  17. 17.The sum of two numbers is 29 and their difference is 5. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 21. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  21. 21.The sum of two numbers is 99 and their difference is 13. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 135. What is the largest of them?
  23. 23.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  24. 24.One number is 6 times another. Their difference is 20. What is the smaller number?
  25. 25.The sum of two numbers is 23 and their difference is 7. What is the larger number?
  26. 26.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  27. 27.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  28. 28.The sum of two numbers is 66 and their difference is 62. What is the larger number?
  29. 29.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 33. What is the smaller number?
  32. 32.The sum of two numbers is 62 and their difference is 22. What is the larger number?
  33. 33.The sum of two numbers is 13 and their difference is 11. What is the smaller number?
  34. 34.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  36. 36.One number is 6 times another. Their difference is 130. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  38. 38.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  39. 39.The sum of two numbers is 137 and their difference is 27. What is the larger number?
  40. 40.One number is 4 times another. Their difference is 15. What is the smaller number?

Answer key

  1. 20
  2. 8
  3. 10
  4. 15
  5. 38
  6. 30
  7. 54
  8. 47
  9. 15
  10. 21
  11. 21
  12. 6
  13. 36
  14. 53
  15. 39
  16. 59
  17. 12
  18. 23
  19. 8
  20. 53
  21. 43
  22. 46
  23. 17
  24. 4
  25. 15
  26. 19
  27. 78
  28. 64
  29. 37
  30. 42
  31. 33
  32. 42
  33. 1
  34. 70
  35. 41
  36. 26
  37. 58
  38. 19
  39. 82
  40. 5

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